Year 6. Measurement. Term by Term Objectives. All students. National Curriculum Statement. Fluency Reasoning Problem Solving

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1 Look at the shapes below. True or false? Two rectangles with the same area can have different perimeters. Explain your answer. The shape below has an area of A quadrilateral has an area of 24cm 2 Sophie says, The perimeter is 6,6,6,6 Ben says, That s not true. It s 8,8,3,3 Who is correct? Explain why. How many shapes can you Recognise that shapes with the same areas can have different perimeters and vice versa. Which two shapes have the same area? Which two shapes have the same perimeter? Draw two different rectangles that have an area of 12cm 2. draw with the area? What are the perimeters of these shapes? Is there a pattern/do you notice anything? Three children are given the same shape to draw. They each give a clue. Kate says, The smallest length is 4cm. Lucy says, The area is less than 30cm 2. Ash says, The perimeter is 22cm. Draw two different rectangles that have a perimeter of 20cm. What are the lengths of the quadrilateral?

2 Calculate the area of the parallelograms: An isosceles triangle has a perimeter of 20cm. One of its sides is 6cm long. What could the other two lengths be? Explain your answer. Kara has a piece of fabric in the shape of a parallelogram. Its height is 12m and its base is 18m. She cuts the fabric into four equal parallelograms by cutting the base and the height in half. What is the area of each new parallelogram? Calculate the area of parallelograms and triangles. Calculate the area of the triangles: The area of a rectangle is given by A = b h. Use the diagrams below to show two different ways in which it can be demonstrated that the area of a triangle is given by A = b h. Maria s classroom is shaped like a parallelogram. The height of the parallelogram is x metres and the corresponding base is 7 metres longer than the parallelogram s height. How can Maria write an expression that shows her classroom s area in terms of x? Knowing the formula of a rectangle, show why the formula of a parallelogram is also a = b x h.

3 Find the volume of the cuboid. Clare is calculating the volume of this cuboid. A box of matches measures 1cm by 4cm by 5cm. Boxes of matches are placed in a cardboard box measuring 15cm by 32cm by 40cm. How many boxes of matches fit into cardboard box? Calculate, estimate and compare volume of cubes and cuboids using standard units, including cm 3, m 3 and extending to other units (mm 3, km 3 ). This cuboid has a volume of 70cm 3. Calculate the height of the cuboid. A cube has a volume of 125cm 3. Calculate the length, height and width of the cube. She has written the answer: 960cm 3. Do you agree with Clare? Can you work out what she has done and help her solve the problem? The volume of a cube is 64cm 3. The volume of a cuboid is also 64cm 3. Harry says, I can definitely tell you the height, width and length of the cube but I can t definitely tell you the height, width and length of the cuboid. Georgia is making cuboids using 24 cubes. How many different cuboids can she make? Show your different cuboids using volume = length x width x height A book is 19cm wide, 26cm long and 2.5cm thick. There are 8 similar books placed on the top of each other. What is the volume taken up by them? Explain Harry s answer.

4 Which formula below would calculate the area of the right angled triangle? Sidra writes the formula for the surface area of the cuboid. ab + ac +bc This is a drawing of David s garden. 10m Garden 7m Recognise when it is possible to use formulae for area and volume of shapes. a) a + b x 2 b) ab 0.5 c) a + b + c d) ab 2 Look at the cube below. a) Write the formula for the surface area of the cube. b) Write the formula that could be used to calculate the volume of this cube. Do you agree with Sidra? Explain your reasoning. Anna is calculating the area of a triangle. She says, I only need two of the side lengths to work out the area. Do you agree with Anna? Explain why. He is planting seeds in it. It costs 2 per 5m 2 of the garden. How much does he spend to plant seeds in half of his garden? Bob is tiling his bathroom wall. It costs 1.50 per 4cm 2. How much will it cost to tile the whole wall? Bathroom wall 5m Calculate the missing length: 20cm 1.6m x 4cm

5 Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate. Josh is trying to run 10 kilometres in one week. Here are the distances he runs on the first three days: Day 1: 1.6 kilometres Day 2: 850 metres Day 3: 2.12 kilometres How much further does he have to run? Work out how many kilometres are in: 2568 metres + 2 miles kilometres Miss Brown is making a packed lunch for each child in her class. They each receive: A 200g sandwich A 35g packet of crisps A 72g cookie A 43g apple She has 32 children in her class. What is the total weight of the classes packed lunches? True or false? If you convert any amount of grams into kilograms then it will never have an amount in the units e.g. 76g = 0.076kg Jenny travels 652 miles to go on holiday. Abbie thinks she travels further because she travels 1412 kilometres. Is Abbie right? Explain why. A shop sells litre bottles of water for 99p each but has an offer for 8x300ml bottles for 2 If he wants to buy 12L of water, which should he buy and why? Three athletes (Ben, Greg and Sam) jumped a total of 34.77m in a long jump competition. Greg jumped exactly 2 metres further than Ben. Sam jumped exactly 2 metres further than Greg. What distance did they all jump? Part of a ruler and a toy bus are shown below. The whole bus is 4 times the length that is shown. How long would 8 buses be in cm? Conversion bingo! Choose units to convert between [e.g. grams and kilograms] and ask children to write down 6 amounts. The first to mark all 6 is the winner!